Scaling in energy dependence of relative particle production rates and properties of the $\xi$ distributions in $e^{+}e^{-}$ annihilations

With the production rates, <n/sub part/>, of the K/sup 0/, K/sup +/, p and Lambda and average charged particle multiplicities, <n/sub ch />, recently measured at LEP1.5-LEP2, scaling of the relative particle production rates <n/sub part/>/<n/sub ch/> is seen in a broad center of mass energy range from square root s=29-35 to 183 Ge V. The quantity xi /sub 0//<n/sub ch/>/sup 1/2 /, where xi /sub 0/ is the position of the maximum of the xi =-In(2p/ square root s) distribution and p is the particle momentum, also scales from 14 to 183 GeV. It is shown that the Gaussian shape of the xi distribution is a simple consequence of longitudinal phase space. The slope parameter in the logarithmic increase of xi /sub 0/ with the center of mass energy must be smaller than 1, as observed experimentally, but this does not necessarily imply a manifestation of coherence. (14 refs).